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Mathematica Bohemica, first online, pp. 1-12

On a theorem of McCoy

Rajendra Kumar Sharma, Amit B. Singh

Received March 3, 2022.   Published online January 17, 2023.
Abstract:  We study McCoy's theorem to the skew Hurwitz series ring $({\rm HR}, \omega)$ for some different classes of rings such as: semiprime rings, APP rings and skew Hurwitz serieswise quasi-Armendariz rings. Moreover, we establish an equivalence relationship between a right zip ring and its skew Hurwitz series ring in case when a ring $R$ satisfies McCoy's theorem of skew Hurwitz series.
Keywords:  skew Hurwitz series ring; $\omega$-compatible ring; skew Hurwitz serieswise; quasi-Armendariz rings; zip ring; APP ring
Classification MSC:  16S85, 16U80, 16S10
DOI:  10.21136/MB.2023.0031-22
PDF available at:  Institute of Mathematics CAS
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Affiliations:   Rajendra Kumar Sharma, Department of Mathematics, Indian Institute of Technology, New Delhi-110016, India, e-mail: rksharmaiitd@gmail.com; Amit B. Singh (corresponding author), Department of Computer Science and Engineering, Jamia Hamdard (deemed to be University), New Delhi-110062, India, e-mail: amit.bhooshan84@gmail.com
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